{"id":13897,"date":"2016-01-15T21:27:36","date_gmt":"2016-01-15T21:27:36","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=13897"},"modified":"2017-09-06T19:45:36","modified_gmt":"2017-09-06T19:45:36","slug":"statistics-holiday-weight-gain-estimating-percentage-who-dont","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/statistics-holiday-weight-gain-estimating-percentage-who-dont\/","title":{"rendered":"Statistics:  holiday weight gain:  estimating percentage who don&#8217;t"},"content":{"rendered":"<h1>The tutor follows his earlier post with an implication about holiday weight gain.<\/h1>\n<p>In <a href=\"?p=13878\">yesterday&#8217;s post<\/a> I discussed the surprise that perhaps mean holiday weight gain is no more than a pound; furthermore, I estimated its standard deviation at 3.125lbs. Given that information, what percentage of people gain no weight at all?<\/p>\n<p>Given mean \u03bc=1 and \u03c3=3.125, we can calculate the z-score for 0:<\/p>\n<p>z=(x-\u03bc)\/\u03c3 = (0-1)\/3.125=-0.32<\/p>\n<p>Looking at the standard normal table, z=-0.32 corresponds to 0.3745. Given our assumptions, about 37% of people gain no weight during the holidays. If you&#8217;re one of those, congratulations!<\/p>\n<p>HTH:)<\/p>\n<p>Source:<\/p>\n<p>Harnett, Donald L. and James L. Murphy. <em>Statistical Analysis for Business and Economics.<\/em> Don Mills: Addison-Wesley, 1993.<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor follows his earlier post with an implication about holiday weight gain. In yesterday&#8217;s post I discussed the surprise that perhaps mean holiday weight gain is no more than a pound; furthermore, I estimated its standard deviation at 3.125lbs. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/statistics-holiday-weight-gain-estimating-percentage-who-dont\/\"> <span class=\"screen-reader-text\">Statistics:  holiday weight gain:  estimating percentage who don&#8217;t<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[181,19],"tags":[1342,292,1344,436,439],"class_list":["post-13897","post","type-post","status-publish","format-standard","hentry","category-lifestyle","category-statistics","tag-holiday-weight-gain","tag-normal-distribution","tag-percent-of-people-who-dont-gain-weight-over-the-holidays","tag-standard-normal-distribution","tag-z-score"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/13897","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=13897"}],"version-history":[{"count":10,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/13897\/revisions"}],"predecessor-version":[{"id":23419,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/13897\/revisions\/23419"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=13897"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=13897"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=13897"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}